On the maximum number of period annuli for second order conservative equations

Autor:	Inara Yermachenko, Armands Gritsans
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	morse function binary tree conservative equation Order (business) period annulus Modeling and Simulation QA1-939 Applied mathematics Analysis Period (music) Mathematics
Zdroj:	Mathematical Modelling and Analysis, Vol 26, Iss 4, Pp 612-630 (2021) Mathematical Modelling and Analysis; Vol 26 No 4 (2021); 612-630
ISSN:	1648-3510 1392-6292
Popis:	We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial period annuli of the equation and prove that the upper bound obtained is sharp. We use tree theory in our considerations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4709588d44b3c473ebd0c328696482da https://journals.vgtu.lt/index.php/MMA/article/view/13979 Zobrazit plný text záznamu Plný text ve formátu PDF